How to integrate int 1/(1+x^3)dx ?

[Alexx1]

I try to solve the integral 1/(1+x^3) dx , but I got stuck

Now I got as solution:

(1/3) ln(x+1) - (1/6) ln(x^2 -x+1) + (1/2) integral (1/(x^2 -x+1))

Can someone help me to solve the last integral? I have absolutely no idea how I can solve that one..

So integral: 1/(x^2 -x+1) dx

 

[arildno]

PLease do not open a new thread on the same topic.